SASAHARA, Toru:COE Research Fellow,Geometry
 Keyword(s):
 CR submanifolds, Lagrangian submanifolds, Legendre submanifolds,
Biharmonic maps.
 Research Interest:
 Differential Geometry
 Research Activities:

The theory of minimal Lagrangian submanifolds in complex space forms is
closely related to that of affine hypersurfaces and statistical
manifolds. I am interested in the class of¡¡biharmonic
CRsubmanifolds which contains the class of minimal Lagrangian ones.
Paperlist:
1. T.Sasahara; CRsubmanifolds in complex hyperbolic spaces satisfying
an
equality of Chen,
Tsukuba J. Math. 23 (1999) 565583.
2. T.Sasahara; Three dimensional CRsubmanifolds in the nearly Kaehler
sixsphere
satisfying B.Y.Chen's basic equality,Tamkang J.Math. 31 (2000) 289295.
3. T.Sasahara; On Ricci curvature of CRsubmanifolds with rank one
totally
real distribution, Nihonkai Math. J. 12 (2001) 4758.
4. T.Sasahara; On Chen invariant of CRsubmanifolds in a complex
hyperbolic
space,
Tsukuba J.Math. 26 (2002) 119132.
5. T.Sasahara; Submanifolds in a Sasakian manifold $R^{2n+1}(3)$ whose
$\phi$mean curvature vectors are eigenvectors, J. Geometry, 75 (2003)
166178,
6. T.Sasahara; Spectral decomposition of the mean curvature vector
fields of
surfaces in a Sasakian manifold $R^{2n+1}(3)$, Results in Math, 43
(2003)
168180.
7. T.Sasahara; Legendre surfaces whose mean curvature vectors are
eigenvectors of the Laplace operator, Note di Matematica, to appear.
8. T.Sasahara; Quasiminimal Lagrangian surfaces whose mean curvature
vectors are eigenvectors,
Demonstratio, Mathematica, 37 (2004), to appear.
9. T.Sasahara; Legendre surfaces in Sasakian space forms
whose mean curvature vectors are
eigenvectors, preprint.
10. T.Sasahara and M.M.Tripathi; On invariant submanifolds in $(\kappa,
\mu)
$manifolds, preprint.